# EAD 234A_Homework2__2009 - EAD 234A: E&M Homework #2 Due...

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Homework #2 Due Thursday, January 21, 2010 1. Find an approximate expression for the mutual capacitance (per unit length) between two thin, parallel wires, each with a round cross-section, but its own diameter. The figure below illustrates the geometry. 2. Each electrode of a large plane capacitor is cut into long strips of equal width l , with very narrow gaps between them. These strips are kept at the alternating potentials shown in the figure below. Use separation of variables to calculate the electrostatic potential distribution. Explore the limit l << d . 3. We wish to consider the cylinder problem shown in the figure below for the cases when the voltage on the top lid equals: (i) V = V 0 J 1 ( x 11 ρ / R )sin Ԅ , where x 11 3.832 is the first root of the Bessel function J 1 ( x ), and (ii) V = V 0 = const. For both cases, calculate the electric field in the centers of the lower and upper lids. Which field is higher? Hint:

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## This note was uploaded on 05/14/2010 for the course EAD 234 taught by Professor Ncl during the Spring '10 term at École Normale Supérieure.

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EAD 234A_Homework2__2009 - EAD 234A: E&M Homework #2 Due...

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